@incollection{statphys23_0375,
	title = {The 2D Blume Capel model : fermionisation and phase diagram},
	address = {Genova, Italy},
	author = {M. Clusel and J.Y. Fortin},
	booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
	editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
	month = {9-13 July},
	url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=375},
	year = {2007},
	biburl = {http://www.bibsonomy.org/bibtex/2af036cbdc80081a46e660ccb5747f6f1/statphys23},
	abstract = {The Blume-Capel model was introduced as an extension of the Ising model, to mimic the physical properties of the liquid mixture of Helium 3 and 4 at low temperature. Mean field theory and Monte Carlo studies show that the phase diagram exhibits a line of second order critical points ending at a tricritical point in the phase diagram. We use a Grassmann algebra technique developed by V. Plechko to derive the exact underlying fermionic field theory for the 2D Blume-Capel. The analysis of this action allows us to characterize the exact critical line.},
	keywords = {algebra blume capel diagram grassmann model phase statphys23 topic-1 }
}